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Finding the Fourth Proportional to 7,597.53, 10,482.71 and 5,713.63

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Solution

The fourth proportional to 7,597.53, 10,482.71 and 5,713.63 is: 7,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.53 : 10,482.71 = 5,713.63 : x
  2. Step 2: Convert to fraction form
    7,597.53/10,482.71 = 5,713.63/x
  3. Step 3: Cross multiply
    7,597.53x = 10,482.71 × 5,713.63
  4. Step 4: Simplify right side
    7,597.53x = 59,894,271.56
  5. Step 5: Solve for x
    x = 59,894,271.56/7,597.53
  6. Step 6: Final answer
    x = 7,883.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.