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Finding the Fourth Proportional to 10,070.58, 15,077.52 and 7,597.56

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Solution

The fourth proportional to 10,070.58, 15,077.52 and 7,597.56 is: 11,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.58 : 15,077.52 = 7,597.56 : x
  2. Step 2: Convert to fraction form
    10,070.58/15,077.52 = 7,597.56/x
  3. Step 3: Cross multiply
    10,070.58x = 15,077.52 × 7,597.56
  4. Step 4: Simplify right side
    10,070.58x = 114,552,362.85
  5. Step 5: Solve for x
    x = 114,552,362.85/10,070.58
  6. Step 6: Final answer
    x = 11,374.95

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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.