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Finding the Fourth Proportional to 12,328.93, 18,492.45 and 4,537

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Solution

The fourth proportional to 12,328.93, 18,492.45 and 4,537 is: 6,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.93 : 18,492.45 = 4,537 : x
  2. Step 2: Convert to fraction form
    12,328.93/18,492.45 = 4,537/x
  3. Step 3: Cross multiply
    12,328.93x = 18,492.45 × 4,537
  4. Step 4: Simplify right side
    12,328.93x = 83,900,245.65
  5. Step 5: Solve for x
    x = 83,900,245.65/12,328.93
  6. Step 6: Final answer
    x = 6,805.15

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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.