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Finding the Fourth Proportional to 10,542.04, 14,547.14 and 5,826.32

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Solution

The fourth proportional to 10,542.04, 14,547.14 and 5,826.32 is: 8,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.04 : 14,547.14 = 5,826.32 : x
  2. Step 2: Convert to fraction form
    10,542.04/14,547.14 = 5,826.32/x
  3. Step 3: Cross multiply
    10,542.04x = 14,547.14 × 5,826.32
  4. Step 4: Simplify right side
    10,542.04x = 84,756,292.72
  5. Step 5: Solve for x
    x = 84,756,292.72/10,542.04
  6. Step 6: Final answer
    x = 8,039.84

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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.