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Finding the Fourth Proportional to 10,303.24, 15,440.10 and 6,405.40

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Solution

The fourth proportional to 10,303.24, 15,440.10 and 6,405.40 is: 9,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.24 : 15,440.10 = 6,405.40 : x
  2. Step 2: Convert to fraction form
    10,303.24/15,440.10 = 6,405.40/x
  3. Step 3: Cross multiply
    10,303.24x = 15,440.10 × 6,405.40
  4. Step 4: Simplify right side
    10,303.24x = 98,900,016.54
  5. Step 5: Solve for x
    x = 98,900,016.54/10,303.24
  6. Step 6: Final answer
    x = 9,598.92

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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.