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Finding the Fourth Proportional to 8,298.54, 12,444.50 and 3,032.35

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Solution

The fourth proportional to 8,298.54, 12,444.50 and 3,032.35 is: 4,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.54 : 12,444.50 = 3,032.35 : x
  2. Step 2: Convert to fraction form
    8,298.54/12,444.50 = 3,032.35/x
  3. Step 3: Cross multiply
    8,298.54x = 12,444.50 × 3,032.35
  4. Step 4: Simplify right side
    8,298.54x = 37,736,056.04
  5. Step 5: Solve for x
    x = 37,736,056.04/8,298.54
  6. Step 6: Final answer
    x = 4,547.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.