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Finding the Fourth Proportional to 10,307.66, 15,423.21 and 6,149.93

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Solution

The fourth proportional to 10,307.66, 15,423.21 and 6,149.93 is: 9,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.66 : 15,423.21 = 6,149.93 : x
  2. Step 2: Convert to fraction form
    10,307.66/15,423.21 = 6,149.93/x
  3. Step 3: Cross multiply
    10,307.66x = 15,423.21 × 6,149.93
  4. Step 4: Simplify right side
    10,307.66x = 94,851,584.76
  5. Step 5: Solve for x
    x = 94,851,584.76/10,307.66
  6. Step 6: Final answer
    x = 9,202.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.