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Finding the Fourth Proportional to 10,565.34, 14,564.64 and 8,043.06

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Solution

The fourth proportional to 10,565.34, 14,564.64 and 8,043.06 is: 11,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.34 : 14,564.64 = 8,043.06 : x
  2. Step 2: Convert to fraction form
    10,565.34/14,564.64 = 8,043.06/x
  3. Step 3: Cross multiply
    10,565.34x = 14,564.64 × 8,043.06
  4. Step 4: Simplify right side
    10,565.34x = 117,144,248.94
  5. Step 5: Solve for x
    x = 117,144,248.94/10,565.34
  6. Step 6: Final answer
    x = 11,087.60

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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.