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Finding the Fourth Proportional to 7,803.68, 11,688.10 and 6,036.66

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Solution

The fourth proportional to 7,803.68, 11,688.10 and 6,036.66 is: 9,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.68 : 11,688.10 = 6,036.66 : x
  2. Step 2: Convert to fraction form
    7,803.68/11,688.10 = 6,036.66/x
  3. Step 3: Cross multiply
    7,803.68x = 11,688.10 × 6,036.66
  4. Step 4: Simplify right side
    7,803.68x = 70,557,070.65
  5. Step 5: Solve for x
    x = 70,557,070.65/7,803.68
  6. Step 6: Final answer
    x = 9,041.52

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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.