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Finding the Fourth Proportional to 10,385.81, 14,332.53 and 5,670.08

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Solution

The fourth proportional to 10,385.81, 14,332.53 and 5,670.08 is: 7,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.81 : 14,332.53 = 5,670.08 : x
  2. Step 2: Convert to fraction form
    10,385.81/14,332.53 = 5,670.08/x
  3. Step 3: Cross multiply
    10,385.81x = 14,332.53 × 5,670.08
  4. Step 4: Simplify right side
    10,385.81x = 81,266,591.70
  5. Step 5: Solve for x
    x = 81,266,591.70/10,385.81
  6. Step 6: Final answer
    x = 7,824.77

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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.