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Finding the Fourth Proportional to 7,784.53, 10,742.30 and 4,800.64

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Solution

The fourth proportional to 7,784.53, 10,742.30 and 4,800.64 is: 6,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.53 : 10,742.30 = 4,800.64 : x
  2. Step 2: Convert to fraction form
    7,784.53/10,742.30 = 4,800.64/x
  3. Step 3: Cross multiply
    7,784.53x = 10,742.30 × 4,800.64
  4. Step 4: Simplify right side
    7,784.53x = 51,569,915.07
  5. Step 5: Solve for x
    x = 51,569,915.07/7,784.53
  6. Step 6: Final answer
    x = 6,624.67

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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.