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Finding the Fourth Proportional to 10,420.80, 15,634.08 and 6,030.24

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Solution

The fourth proportional to 10,420.80, 15,634.08 and 6,030.24 is: 9,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.80 : 15,634.08 = 6,030.24 : x
  2. Step 2: Convert to fraction form
    10,420.80/15,634.08 = 6,030.24/x
  3. Step 3: Cross multiply
    10,420.80x = 15,634.08 × 6,030.24
  4. Step 4: Simplify right side
    10,420.80x = 94,277,254.58
  5. Step 5: Solve for x
    x = 94,277,254.58/10,420.80
  6. Step 6: Final answer
    x = 9,047.03

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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.