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Finding the Fourth Proportional to 7,701.48, 11,547.90 and 5,239.62

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Solution

The fourth proportional to 7,701.48, 11,547.90 and 5,239.62 is: 7,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.48 : 11,547.90 = 5,239.62 : x
  2. Step 2: Convert to fraction form
    7,701.48/11,547.90 = 5,239.62/x
  3. Step 3: Cross multiply
    7,701.48x = 11,547.90 × 5,239.62
  4. Step 4: Simplify right side
    7,701.48x = 60,506,607.80
  5. Step 5: Solve for x
    x = 60,506,607.80/7,701.48
  6. Step 6: Final answer
    x = 7,856.49

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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.