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Finding the Fourth Proportional to 7,307.60, 10,964.10 and 2,377.40

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Solution

The fourth proportional to 7,307.60, 10,964.10 and 2,377.40 is: 3,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.60 : 10,964.10 = 2,377.40 : x
  2. Step 2: Convert to fraction form
    7,307.60/10,964.10 = 2,377.40/x
  3. Step 3: Cross multiply
    7,307.60x = 10,964.10 × 2,377.40
  4. Step 4: Simplify right side
    7,307.60x = 26,066,051.34
  5. Step 5: Solve for x
    x = 26,066,051.34/7,307.60
  6. Step 6: Final answer
    x = 3,566.98

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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.