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Finding the Fourth Proportional to 10,607.40, 15,911.10 and 6,460.20

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Solution

The fourth proportional to 10,607.40, 15,911.10 and 6,460.20 is: 9,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.40 : 15,911.10 = 6,460.20 : x
  2. Step 2: Convert to fraction form
    10,607.40/15,911.10 = 6,460.20/x
  3. Step 3: Cross multiply
    10,607.40x = 15,911.10 × 6,460.20
  4. Step 4: Simplify right side
    10,607.40x = 102,788,888.22
  5. Step 5: Solve for x
    x = 102,788,888.22/10,607.40
  6. Step 6: Final answer
    x = 9,690.30

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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.