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Finding the Fourth Proportional to 7,851.32, 10,830.18 and 5,363

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Solution

The fourth proportional to 7,851.32, 10,830.18 and 5,363 is: 7,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.32 : 10,830.18 = 5,363 : x
  2. Step 2: Convert to fraction form
    7,851.32/10,830.18 = 5,363/x
  3. Step 3: Cross multiply
    7,851.32x = 10,830.18 × 5,363
  4. Step 4: Simplify right side
    7,851.32x = 58,082,255.34
  5. Step 5: Solve for x
    x = 58,082,255.34/7,851.32
  6. Step 6: Final answer
    x = 7,397.77

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