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Finding the Fourth Proportional to 10,056.45, 13,878 and 5,580.63

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Solution

The fourth proportional to 10,056.45, 13,878 and 5,580.63 is: 7,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.45 : 13,878 = 5,580.63 : x
  2. Step 2: Convert to fraction form
    10,056.45/13,878 = 5,580.63/x
  3. Step 3: Cross multiply
    10,056.45x = 13,878 × 5,580.63
  4. Step 4: Simplify right side
    10,056.45x = 77,447,983.14
  5. Step 5: Solve for x
    x = 77,447,983.14/10,056.45
  6. Step 6: Final answer
    x = 7,701.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.