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Finding the Fourth Proportional to 10,305.24, 15,443.88 and 4,746.36

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Solution

The fourth proportional to 10,305.24, 15,443.88 and 4,746.36 is: 7,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.24 : 15,443.88 = 4,746.36 : x
  2. Step 2: Convert to fraction form
    10,305.24/15,443.88 = 4,746.36/x
  3. Step 3: Cross multiply
    10,305.24x = 15,443.88 × 4,746.36
  4. Step 4: Simplify right side
    10,305.24x = 73,302,214.28
  5. Step 5: Solve for x
    x = 73,302,214.28/10,305.24
  6. Step 6: Final answer
    x = 7,113.10

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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.