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Finding the Fourth Proportional to 10,572.16, 14,586.96 and 6,844

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Solution

The fourth proportional to 10,572.16, 14,586.96 and 6,844 is: 9,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.16 : 14,586.96 = 6,844 : x
  2. Step 2: Convert to fraction form
    10,572.16/14,586.96 = 6,844/x
  3. Step 3: Cross multiply
    10,572.16x = 14,586.96 × 6,844
  4. Step 4: Simplify right side
    10,572.16x = 99,833,154.24
  5. Step 5: Solve for x
    x = 99,833,154.24/10,572.16
  6. Step 6: Final answer
    x = 9,443.02

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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.