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Finding the Fourth Proportional to 10,944, 16,421.64 and 6,017.52

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Solution

The fourth proportional to 10,944, 16,421.64 and 6,017.52 is: 9,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944 : 16,421.64 = 6,017.52 : x
  2. Step 2: Convert to fraction form
    10,944/16,421.64 = 6,017.52/x
  3. Step 3: Cross multiply
    10,944x = 16,421.64 × 6,017.52
  4. Step 4: Simplify right side
    10,944x = 98,817,547.13
  5. Step 5: Solve for x
    x = 98,817,547.13/10,944
  6. Step 6: Final answer
    x = 9,029.38

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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.