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Finding the Fourth Proportional to 7,653.61, 11,478.51 and 2,106.68

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Solution

The fourth proportional to 7,653.61, 11,478.51 and 2,106.68 is: 3,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.61 : 11,478.51 = 2,106.68 : x
  2. Step 2: Convert to fraction form
    7,653.61/11,478.51 = 2,106.68/x
  3. Step 3: Cross multiply
    7,653.61x = 11,478.51 × 2,106.68
  4. Step 4: Simplify right side
    7,653.61x = 24,181,547.45
  5. Step 5: Solve for x
    x = 24,181,547.45/7,653.61
  6. Step 6: Final answer
    x = 3,159.50

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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.