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Finding the Fourth Proportional to 10,307.17, 14,223.90 and 6,061.02

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Solution

The fourth proportional to 10,307.17, 14,223.90 and 6,061.02 is: 8,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.17 : 14,223.90 = 6,061.02 : x
  2. Step 2: Convert to fraction form
    10,307.17/14,223.90 = 6,061.02/x
  3. Step 3: Cross multiply
    10,307.17x = 14,223.90 × 6,061.02
  4. Step 4: Simplify right side
    10,307.17x = 86,211,342.38
  5. Step 5: Solve for x
    x = 86,211,342.38/10,307.17
  6. Step 6: Final answer
    x = 8,364.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.