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Finding the Fourth Proportional to 7,096.42, 10,668.66 and 5,719.42

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Solution

The fourth proportional to 7,096.42, 10,668.66 and 5,719.42 is: 8,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.42 : 10,668.66 = 5,719.42 : x
  2. Step 2: Convert to fraction form
    7,096.42/10,668.66 = 5,719.42/x
  3. Step 3: Cross multiply
    7,096.42x = 10,668.66 × 5,719.42
  4. Step 4: Simplify right side
    7,096.42x = 61,018,547.38
  5. Step 5: Solve for x
    x = 61,018,547.38/7,096.42
  6. Step 6: Final answer
    x = 8,598.50

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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.