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Finding the Fourth Proportional to 10,547.25, 15,807.20 and 4,300.10

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Solution

The fourth proportional to 10,547.25, 15,807.20 and 4,300.10 is: 6,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.25 : 15,807.20 = 4,300.10 : x
  2. Step 2: Convert to fraction form
    10,547.25/15,807.20 = 4,300.10/x
  3. Step 3: Cross multiply
    10,547.25x = 15,807.20 × 4,300.10
  4. Step 4: Simplify right side
    10,547.25x = 67,972,440.18
  5. Step 5: Solve for x
    x = 67,972,440.18/10,547.25
  6. Step 6: Final answer
    x = 6,444.57

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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.