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Finding the Fourth Proportional to 7,697.52, 11,549.04 and 2,503.40

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Solution

The fourth proportional to 7,697.52, 11,549.04 and 2,503.40 is: 3,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.52 : 11,549.04 = 2,503.40 : x
  2. Step 2: Convert to fraction form
    7,697.52/11,549.04 = 2,503.40/x
  3. Step 3: Cross multiply
    7,697.52x = 11,549.04 × 2,503.40
  4. Step 4: Simplify right side
    7,697.52x = 28,911,866.74
  5. Step 5: Solve for x
    x = 28,911,866.74/7,697.52
  6. Step 6: Final answer
    x = 3,756.00

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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.