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Finding the Fourth Proportional to 7,580.58, 11,368.71 and 2,962.50

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Solution

The fourth proportional to 7,580.58, 11,368.71 and 2,962.50 is: 4,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.58 : 11,368.71 = 2,962.50 : x
  2. Step 2: Convert to fraction form
    7,580.58/11,368.71 = 2,962.50/x
  3. Step 3: Cross multiply
    7,580.58x = 11,368.71 × 2,962.50
  4. Step 4: Simplify right side
    7,580.58x = 33,679,803.38
  5. Step 5: Solve for x
    x = 33,679,803.38/7,580.58
  6. Step 6: Final answer
    x = 4,442.91

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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.