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Finding the Fourth Proportional to 10,667.68, 14,726.28 and 7,088.20

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Solution

The fourth proportional to 10,667.68, 14,726.28 and 7,088.20 is: 9,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.68 : 14,726.28 = 7,088.20 : x
  2. Step 2: Convert to fraction form
    10,667.68/14,726.28 = 7,088.20/x
  3. Step 3: Cross multiply
    10,667.68x = 14,726.28 × 7,088.20
  4. Step 4: Simplify right side
    10,667.68x = 104,382,817.90
  5. Step 5: Solve for x
    x = 104,382,817.90/10,667.68
  6. Step 6: Final answer
    x = 9,784.96

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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.