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Finding the Fourth Proportional to 10,358.40, 14,304.78 and 6,588.66

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Solution

The fourth proportional to 10,358.40, 14,304.78 and 6,588.66 is: 9,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.40 : 14,304.78 = 6,588.66 : x
  2. Step 2: Convert to fraction form
    10,358.40/14,304.78 = 6,588.66/x
  3. Step 3: Cross multiply
    10,358.40x = 14,304.78 × 6,588.66
  4. Step 4: Simplify right side
    10,358.40x = 94,249,331.79
  5. Step 5: Solve for x
    x = 94,249,331.79/10,358.40
  6. Step 6: Final answer
    x = 9,098.83

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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.