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Finding the Fourth Proportional to 10,666.52, 14,711.88 and 7,833

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Solution

The fourth proportional to 10,666.52, 14,711.88 and 7,833 is: 10,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.52 : 14,711.88 = 7,833 : x
  2. Step 2: Convert to fraction form
    10,666.52/14,711.88 = 7,833/x
  3. Step 3: Cross multiply
    10,666.52x = 14,711.88 × 7,833
  4. Step 4: Simplify right side
    10,666.52x = 115,238,156.04
  5. Step 5: Solve for x
    x = 115,238,156.04/10,666.52
  6. Step 6: Final answer
    x = 10,803.73

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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.