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Finding the Fourth Proportional to 7,534.76, 11,300.85 and 1,988.16

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Solution

The fourth proportional to 7,534.76, 11,300.85 and 1,988.16 is: 2,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.76 : 11,300.85 = 1,988.16 : x
  2. Step 2: Convert to fraction form
    7,534.76/11,300.85 = 1,988.16/x
  3. Step 3: Cross multiply
    7,534.76x = 11,300.85 × 1,988.16
  4. Step 4: Simplify right side
    7,534.76x = 22,467,897.94
  5. Step 5: Solve for x
    x = 22,467,897.94/7,534.76
  6. Step 6: Final answer
    x = 2,981.90

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