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Finding the Fourth Proportional to 10,900.32, 15,041.98 and 6,184.50

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Solution

The fourth proportional to 10,900.32, 15,041.98 and 6,184.50 is: 8,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.32 : 15,041.98 = 6,184.50 : x
  2. Step 2: Convert to fraction form
    10,900.32/15,041.98 = 6,184.50/x
  3. Step 3: Cross multiply
    10,900.32x = 15,041.98 × 6,184.50
  4. Step 4: Simplify right side
    10,900.32x = 93,027,125.31
  5. Step 5: Solve for x
    x = 93,027,125.31/10,900.32
  6. Step 6: Final answer
    x = 8,534.35

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