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Finding the Fourth Proportional to 28,362.04, 42,543.06 and 7,585

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Solution

The fourth proportional to 28,362.04, 42,543.06 and 7,585 is: 11,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,362.04 : 42,543.06 = 7,585 : x
  2. Step 2: Convert to fraction form
    28,362.04/42,543.06 = 7,585/x
  3. Step 3: Cross multiply
    28,362.04x = 42,543.06 × 7,585
  4. Step 4: Simplify right side
    28,362.04x = 322,689,110.10
  5. Step 5: Solve for x
    x = 322,689,110.10/28,362.04
  6. Step 6: Final answer
    x = 11,377.50

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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.