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Finding the Fourth Proportional to 7,392.50, 10,203.38 and 4,875.06

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Solution

The fourth proportional to 7,392.50, 10,203.38 and 4,875.06 is: 6,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.50 : 10,203.38 = 4,875.06 : x
  2. Step 2: Convert to fraction form
    7,392.50/10,203.38 = 4,875.06/x
  3. Step 3: Cross multiply
    7,392.50x = 10,203.38 × 4,875.06
  4. Step 4: Simplify right side
    7,392.50x = 49,742,089.70
  5. Step 5: Solve for x
    x = 49,742,089.70/7,392.50
  6. Step 6: Final answer
    x = 6,728.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.