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Finding the Fourth Proportional to 10,513.71, 15,776.37 and 4,278.02

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Solution

The fourth proportional to 10,513.71, 15,776.37 and 4,278.02 is: 6,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.71 : 15,776.37 = 4,278.02 : x
  2. Step 2: Convert to fraction form
    10,513.71/15,776.37 = 4,278.02/x
  3. Step 3: Cross multiply
    10,513.71x = 15,776.37 × 4,278.02
  4. Step 4: Simplify right side
    10,513.71x = 67,491,547.51
  5. Step 5: Solve for x
    x = 67,491,547.51/10,513.71
  6. Step 6: Final answer
    x = 6,419.38

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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.