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Finding the Fourth Proportional to 10,661.51, 14,715.52 and 7,264.14

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Solution

The fourth proportional to 10,661.51, 14,715.52 and 7,264.14 is: 10,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.51 : 14,715.52 = 7,264.14 : x
  2. Step 2: Convert to fraction form
    10,661.51/14,715.52 = 7,264.14/x
  3. Step 3: Cross multiply
    10,661.51x = 14,715.52 × 7,264.14
  4. Step 4: Simplify right side
    10,661.51x = 106,895,487.55
  5. Step 5: Solve for x
    x = 106,895,487.55/10,661.51
  6. Step 6: Final answer
    x = 10,026.30

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