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Finding the Fourth Proportional to 10,666.14, 14,715.64 and 6,473.58

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Solution

The fourth proportional to 10,666.14, 14,715.64 and 6,473.58 is: 8,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.14 : 14,715.64 = 6,473.58 : x
  2. Step 2: Convert to fraction form
    10,666.14/14,715.64 = 6,473.58/x
  3. Step 3: Cross multiply
    10,666.14x = 14,715.64 × 6,473.58
  4. Step 4: Simplify right side
    10,666.14x = 95,262,872.79
  5. Step 5: Solve for x
    x = 95,262,872.79/10,666.14
  6. Step 6: Final answer
    x = 8,931.34

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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.