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Finding the Fourth Proportional to 10,557.63, 14,565.83 and 6,575.45

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Solution

The fourth proportional to 10,557.63, 14,565.83 and 6,575.45 is: 9,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.63 : 14,565.83 = 6,575.45 : x
  2. Step 2: Convert to fraction form
    10,557.63/14,565.83 = 6,575.45/x
  3. Step 3: Cross multiply
    10,557.63x = 14,565.83 × 6,575.45
  4. Step 4: Simplify right side
    10,557.63x = 95,776,781.17
  5. Step 5: Solve for x
    x = 95,776,781.17/10,557.63
  6. Step 6: Final answer
    x = 9,071.81

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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.