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Finding the Fourth Proportional to 10,281.64, 14,188.68 and 5,565.94

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Solution

The fourth proportional to 10,281.64, 14,188.68 and 5,565.94 is: 7,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.64 : 14,188.68 = 5,565.94 : x
  2. Step 2: Convert to fraction form
    10,281.64/14,188.68 = 5,565.94/x
  3. Step 3: Cross multiply
    10,281.64x = 14,188.68 × 5,565.94
  4. Step 4: Simplify right side
    10,281.64x = 78,973,341.56
  5. Step 5: Solve for x
    x = 78,973,341.56/10,281.64
  6. Step 6: Final answer
    x = 7,681.01

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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.