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Finding the Fourth Proportional to 7,897.76, 11,848.64 and 2,703.64

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Solution

The fourth proportional to 7,897.76, 11,848.64 and 2,703.64 is: 4,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.76 : 11,848.64 = 2,703.64 : x
  2. Step 2: Convert to fraction form
    7,897.76/11,848.64 = 2,703.64/x
  3. Step 3: Cross multiply
    7,897.76x = 11,848.64 × 2,703.64
  4. Step 4: Simplify right side
    7,897.76x = 32,034,457.05
  5. Step 5: Solve for x
    x = 32,034,457.05/7,897.76
  6. Step 6: Final answer
    x = 4,056.14

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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.