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Finding the Fourth Proportional to 10,575.66, 14,564.80 and 10,346.06

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Solution

The fourth proportional to 10,575.66, 14,564.80 and 10,346.06 is: 14,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.66 : 14,564.80 = 10,346.06 : x
  2. Step 2: Convert to fraction form
    10,575.66/14,564.80 = 10,346.06/x
  3. Step 3: Cross multiply
    10,575.66x = 14,564.80 × 10,346.06
  4. Step 4: Simplify right side
    10,575.66x = 150,688,294.69
  5. Step 5: Solve for x
    x = 150,688,294.69/10,575.66
  6. Step 6: Final answer
    x = 14,248.59

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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.