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Finding the Fourth Proportional to 25,528, 38,294.08 and 7,060.16

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Solution

The fourth proportional to 25,528, 38,294.08 and 7,060.16 is: 10,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,528 : 38,294.08 = 7,060.16 : x
  2. Step 2: Convert to fraction form
    25,528/38,294.08 = 7,060.16/x
  3. Step 3: Cross multiply
    25,528x = 38,294.08 × 7,060.16
  4. Step 4: Simplify right side
    25,528x = 270,362,331.85
  5. Step 5: Solve for x
    x = 270,362,331.85/25,528
  6. Step 6: Final answer
    x = 10,590.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.