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Finding the Fourth Proportional to 10,415.85, 14,373.87 and 5,700.13

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Solution

The fourth proportional to 10,415.85, 14,373.87 and 5,700.13 is: 7,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.85 : 14,373.87 = 5,700.13 : x
  2. Step 2: Convert to fraction form
    10,415.85/14,373.87 = 5,700.13/x
  3. Step 3: Cross multiply
    10,415.85x = 14,373.87 × 5,700.13
  4. Step 4: Simplify right side
    10,415.85x = 81,932,827.23
  5. Step 5: Solve for x
    x = 81,932,827.23/10,415.85
  6. Step 6: Final answer
    x = 7,866.17

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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.