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Finding the Fourth Proportional to 10,417.32, 14,376 and 5,701.70

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Solution

The fourth proportional to 10,417.32, 14,376 and 5,701.70 is: 7,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.32 : 14,376 = 5,701.70 : x
  2. Step 2: Convert to fraction form
    10,417.32/14,376 = 5,701.70/x
  3. Step 3: Cross multiply
    10,417.32x = 14,376 × 5,701.70
  4. Step 4: Simplify right side
    10,417.32x = 81,967,567.32
  5. Step 5: Solve for x
    x = 81,967,567.32/10,417.32
  6. Step 6: Final answer
    x = 7,868.39

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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.