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Finding the Fourth Proportional to 10,898.32, 15,030.12 and 7,120

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Solution

The fourth proportional to 10,898.32, 15,030.12 and 7,120 is: 9,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.32 : 15,030.12 = 7,120 : x
  2. Step 2: Convert to fraction form
    10,898.32/15,030.12 = 7,120/x
  3. Step 3: Cross multiply
    10,898.32x = 15,030.12 × 7,120
  4. Step 4: Simplify right side
    10,898.32x = 107,014,454.40
  5. Step 5: Solve for x
    x = 107,014,454.40/10,898.32
  6. Step 6: Final answer
    x = 9,819.35

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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.